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111058444 = 22723331521
BaseRepresentation
bin1101001111010…
…01111000001100
321201222100112201
412213221320030
5211412332234
615004211244
72515660360
oct647517014
9251870481
10111058444
1157764942
1231239b24
131a016073
1410a6d2a0
159b3b314
hex69e9e0c

111058444 has 48 divisors (see below), whose sum is σ = 232920576. Its totient is φ = 45302400.

The previous prime is 111058417. The next prime is 111058457. The reversal of 111058444 is 444850111.

It is a super-2 number, since 2×1110584442 = 24667955967402272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212904 + ... + 213424.

It is an arithmetic number, because the mean of its divisors is an integer number (4852512).

Almost surely, 2111058444 is an apocalyptic number.

111058444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111058444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116460288).

111058444 is an abundant number, since it is smaller than the sum of its proper divisors (121862132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111058444 is a wasteful number, since it uses less digits than its factorization.

111058444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 111058444 is about 10538.4270173494. The cubic root of 111058444 is about 480.6738856460.

The spelling of 111058444 in words is "one hundred eleven million, fifty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 331 521 644 662 1042 1324 2084 2317 3647 4634 7294 7613 9268 11983 14588 15226 23966 30452 47932 53291 83881 106582 167762 172451 213164 335524 344902 689804 1207157 2414314 3966373 4828628 7932746 15865492 27764611 55529222 111058444